Graph the equation y = -x^2 - 4x - 3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.

Answer:

Option C is the best match

Step-by-step explanation:

See attachment

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.

The given value, "a truck with a length of 20 feet," is an example of a continuous data set.

Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.

In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).

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Answer:

Step-by-step explanation:

Substitute the order pair (1.1) for x and y.

10(1) - 3(1) = k

10 - 3 = k

7 = k

Answer:

Given: 10x - 3y = k, when x = 1 and y = 1.

First, put in x and y and calculate k:

10(1) - 3(1) = k

10 - 3 = k

7 = k

Have a wonderful day! :-)

The slower canoe's speed is 0.5 mph (Part 1 of 2).

The faster canoe's speed is twice that of the slower canoe:

2  0.5 = 1 mph

The faster canoe's speed is 1 mph (Part 2 of 2).

Let's assume the slower canoe's speed is represented by the variable "x" (in mph). Since the other canoe travels twice as fast, its speed will be "2x" (in mph).

In 3.5 hours, the slower canoe would have traveled a distance of 3.5x miles, and the faster canoe would have traveled a distance of 3.5(2x) = 7x miles.

We are given that the canoes are 5.25 miles apart after 3.5 hours, so we can set up the following equation:

Distance traveled by the slower canoe + Distance traveled by the faster canoe = Total distance apart

3.5x + 7x = 5.25

Combining like terms:

10.5x = 5.25

Now, let's solve for "x" by dividing both sides of the equation by 10.5:

x = 5.25 / 10.5

x = 0.5

Therefore, the slower canoe's speed is 0.5 mph (Part 1 of 2).

The faster canoe's speed is twice that of the slower canoe:

2  0.5 = 1 mph

Therefore, the faster canoe's speed is 1 mph (Part 2 of 2).

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The present value of $200,000 due in 25 years at 11% compounded semiannually is $18,330.26.

To find the present value of $200,000 due in 25 years at 11% compounded semiannually, we can use the formula for present value of a future amount:

PV = FV / (1 + r/n)^(n*t)

where PV is the present value, FV is the future value, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

Plugging in the given values, we get:

PV = 200,000 / (1 + 0.11/2)^(2*25)

PV = 200,000 / (1.055)^50

PV = $18,330.26 (rounded to the nearest cent)

Therefore, the present value of $200,000 due in 25 years at 11% compounded semiannually is $18,330.26.

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The quotient of dividing 3x + 11x³ - 5x² - 19x + 10 by 3x² + 2x - 5 is x² - 3x + 2 (option a).

To divide the given polynomial (3x + 11x³ - 5x² - 19x + 10) by (3x² + 2x - 5), we can use polynomial long division.

1. Arrange the polynomials in descending order of powers:

  11x³ - 5x² + 3x - 19x + 10

  3x² + 2x - 5

2. Divide the first term of the dividend by the first term of the divisor:

  11x³ / 3x² = (11/3) x

3. Multiply the divisor by the result from step 2:

  (11/3) x * (3x² + 2x - 5) = (11/3) x³ + (22/3) x² - (55/3) x

4. Subtract the result from step 3 from the dividend:

  (11x³ - 5x² + 3x - 19x + 10) - ((11/3) x³ + (22/3) x² - (55/3) x) = (-17/3) x² + (82/3) x + 10

5. Bring down the next term from the dividend:

  -17/3 x² + (82/3) x + 10

  3x² + 2x - 5

6. Repeat steps 2-5 until there are no terms left in the dividend:

  (-17/3) x² / 3x² = (-17/9) x

  Multiply the divisor by the result from step 6:

  (-17/9) x * (3x² + 2x - 5) = (-17/9) x³ + (-34/9) x² + (85/9) x

  Subtract the result from step 7 from the dividend:

  (-17/3) x² + (82/3) x + 10 - ((-17/9) x³ + (-34/9) x² + (85/9) x) = (-2/9) x² + (151/9) x + 10

7. Bring down the next term from the dividend:

  (-2/9) x² + (151/9) x + 10

  3x² + 2x - 5

8. Repeat steps 2-7:

  (-2/9) x² / 3x² = (-2/27) x

  Multiply the divisor by the result from step 8:

  (-2/27) x * (3x² + 2x - 5) = (-2/27) x³ + (-4/27) x² + (10/27) x

  Subtract the result from step 9 from the dividend:

  (-2/9) x² + (151/9) x + 10 - ((-2/27) x³ + (-4/27) x² + (10/27) x) = (-2/27) x² + (481/27) x + 10

9. Since there are no terms left in the dividend, the division is complete.

10. The quotient obtained from the division is:

   (11/3) x - (17/9) x + (-2/27) x²

11. Simplifying the quotient:

(11/3) x - (17/9) x - (2/27) x² = x² - 3x + 2

Therefore, the final answer is x² - 3x + 2, which corresponds to option OA.

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Answer:

1.1

Step-by-step explanation:

Answer:

the answer should be $39

Answer:

d) 39

Step-by-step explanation:

Answer: B. 1/4

Step-by-step explanation: The probability of rolling an odd number is 3/6 since there are 3 odd numbers between 1 and 6 (1, 3, 5). The probability of flipping a coin and getting tails is 1/2 since you can either get heads or tails. With this knowledge, you must multiply these two probabilities to get the probability of getting an odd number AND tails; so, 3/6 x 1/2 = 3/12 = 1/4.

The solution for R in V = IR is R = V/I

The equation is given as:

V = IR

Where the equation shows the relationship between voltage, current, and resistance

So, we have:

V = IR

Divide both sides by I

V/I = IR/I

Evaluate the quotient

R = V/I

Hence, the solution for R in V = IR is R = V/I

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Answer:

what we have to prove or equation ?

Answer:

I thinks is

A is the best answer

Answer:

Given :- ABCD is a square.

To proof :- AC = BD and AC ⊥ BD

Proof :- In △ ADB and △ BCA

AD = BC [ Sides of a square are equal ]

∠BAD = ∠ABC [ 90° each ]

AB = BA [ Common side ]

△ADB ≅ △BCA [ SAS congruency rule ]

⇒ AC = BD [ Corresponding parts of congruent triangles are equal ]

In △AOB and △AOD

OB = OD [ Square is also a parallelogram therefore, diagonal of parallelogram bisect each other ]

AB = AD [ Sides of a square are equal ]

AO = AO [ Common side ]

△AOB ≅ △ AOD [ SSS congruency rule ]

⇒ ∠AOB = ∠AOD [ Corresponding parts of congruent triangles are equal]

∠AOB + ∠AOD = 180° [ Linear pair ]

∠ AOB = ∠AOD = 90°

⇒ AO ⊥ BD

⇒ AC ⊥ BD

Hence proved, AC = BD and AC ⊥BD

Answer:

5

Step-by-step explanation:

5

The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

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The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.

Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.

p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692

To four decimal places, the probability of A or B is 0.3269.

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Answer:

x + y =2

-x         -x

y = -1x + 2

Perpendicular is y= 1x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

pugs;

pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.

cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.

poodle;

pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...

They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...

They're good with children or other dogs. ...

They make great service dogs or therapy dogs.

cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...

They require a lot of mental stimulation. ...

They can be emotionally sensitive.

Answer: brainliest please!

Pros of a Pug

! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.

! Pugs have a friendly temperament and get along well with other people/pets.

! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.

! Can take simple commands without hiring a professional trainer/ train on your own
Cons of  a Pug

! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.

````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation

These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.

Answer:

D. 9/4

Step-by-step explanation:

Answer: D

Step-by-step explanation:

-1 1/4 + -3 2/4

Cross out the negative sign because we're working with negatives in this equation. Due to taking away the negative sign, we would subtract.

3 2/4 - 1 1/4 = 9/4

Have a good day :D

Answer:

When you dilate a shape by a scale factor of 2, you are just multiply the coordinates by 2.

So the points become:

A(2, 3)  ===>  A'(4, 6)

B(3, 5)  ===>  B'(6, 10)

C(7,4)   ===>  C'(14,8)

The possible amount of time is 90 seconds that it takes you to run around the baseball field

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The options are missing.

The options are:

We have a radius of the circle is:

r = 150 ft

The perimeter of the circle = 2πr = 2π(150) = 300π ft

The running path distance = 40% of the perimeter of the circle

= 40% of 300π

= 120π ft

Assume the tape length is 50 m

Total distance = 200 + 200 + 120π - 50 = 726.99

The rate is 8 feet per second.

Time = distance/rate = 726.99/8 = 90.87 ≈ 90 seconds

Thus, the possible amount of time is 90 seconds that it takes you to run around the baseball field

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Answer:

dV/dt = 40π

Step-by-step explanation:

We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;

dr/dt = 10 m

Height: h = 6 m

Volume of cone is given by the formula;

V = ⅓πr²h

dV/dr = ⅔πrh

We want to find the rate at which the volume is changing at radius of 1m.

Thus;

dV/dt = (dV/dr) × (dr/dt)

dV/dt = ⅔π(1 × 6) × (10)

dV/dt = 40π

The given differential equation is solved using variation of parameters. We first find the solution to the associated homogeneous equation and obtain the general solution.

Next, we assume a particular solution in the form of linear combinations of two linearly independent solutions of the homogeneous equation, and determine the functions to be multiplied with them. Using this assumption, we solve for these functions and substitute them back into our assumed particular solution. Simplifying the expression, we get a final particular solution. Adding this particular solution to the general solution of the homogeneous equation gives us the general solution to the non-homogeneous equation.

The resulting solution involves several constants which can be determined by using initial or boundary conditions, if provided. This method of solving differential equations by variation of parameters is useful in cases where the coefficients of the differential equation are not constant or when other methods such as the method of undetermined coefficients fail to work.

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Answer:

63.1

Step-by-step explanation:   You divide 315.5 by 5 to get the answer

Answer:

Step-by-step explanation:

it  should be 315.5 or since it is and a 5 all you have to do is multiply it easy hope this helped :)

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

\(x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}\)

For our case, the solutions will be:

\(n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}\)

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.

A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.

The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.

The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.

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The angle between the planes is 90 degrees (since cos 90 = 0).

To determine whether the planes are parallel or orthogonal, we need to find the normal vectors of both planes.

The normal vector of the first plane is (5, -3, 1), which is the coefficients of x, y, and z in the equation 5x - 3y + z = 3.

The normal vector of the second plane is (1, 4, 7), which is the coefficients of x, y, and z in the equation x + 4y + 7z = 1.

To check if the planes are parallel, we can check if the normal vectors are scalar multiples of each other.

(5, -3, 1) = k(1, 4, 7)

Solving for k, we get k = -2.

Since k is not equal to any nonzero constant, the planes are not parallel.

To check if the planes are orthogonal, we can check if the dot product of their normal vectors is zero.

(5, -3, 1) ⋅ (1, 4, 7) = 5(1) + (-3)(4) + (1)(7) = 5 - 12 + 7 = 0

Since the dot product is zero, the planes are orthogonal.

To find the angle between the planes, we can use the formula:

cos θ = (n1 ⋅ n2) / (|n1| |n2|)

where n1 and n2 are the normal vectors of the planes.

Using the values we found earlier, we get:

cos θ = (5, -3, 1) ⋅ (1, 4, 7) / √(5² + (-3)² + 1²) √(1² + 4² + 7²)

cos θ = 0 / (√35 √66) = 0

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The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

After the Civil War, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. This crisis seemed to be causing the disappearance of traditional American values of democracy, equality, and opportunity, and class conflict was threatening to tear society apart.In their struggle against each other, capitalists and working classes attempted to enhance their own power and interests. Capitalists attempted to enhance their power by instituting new labor policies, cutting wages, and lowering working conditions.

The working class was unable to achieve much, despite valiant efforts, due to their lack of solidarity and the capitalist's willingness to use violence against them.The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements. They sought to provide relief for the urban poor and to reform politics by promoting women's suffrage and demanding the elimination of political corruption.In conclusion, Reconstruction failed to establish racial equality and black freedom in the United States. The rapid industrialization of the United States under the system of "free labor" in the years following the Civil War contributed to a social crisis by the end of the nineteenth century. Capitalists and working classes attempted to enhance their power and interests in their struggle with each other. The working class was unable to achieve much, despite valiant efforts. The middle class responded to the struggle between labor and capital, as well as the changes that American society underwent during the late nineteenth century, by supporting a variety of social reform movements.

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1) The equation 3y + 7x = 9 can be rearranged into slope-intercept form as y = (-7/3)x + 3. The slope is -7/3, the x-intercept is (3, 0), and the y-intercept is (0, 3).

2) Substituting x = -3 into the equation 3x - 4y = 6 gives -9 - 4y = 6. Solving for y, we find y = -3/2.

3) For the equation 2x + 3y = 4, we can fill in the table of values by substituting different x-values and solving for y: (-2, 4/3), (-1, 2/3).

4) When y = 5 in the equation 5x + 2y = 10, substituting the value gives 5x + 2(5) = 10. Solving for x, we get x = 0.

5) The equation 7x - 5y = 5 can be rearranged as y = (7/5)x - 1. The slope is 7/5, and the y-intercept is (0, -1).

1) To find the slope, we can rearrange the equation 3y + 7x = 9 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. By isolating y, we get y = (-7/3)x + 3, so the slope is -7/3. The x-intercept can be found by setting y = 0 and solving for x: 3(0) + 7x = 9, which gives x = 3/7. Therefore, the x-intercept is (3/7, 0). Similarly, the y-intercept is found by setting x = 0 and solving for y: 3y + 7(0) = 9, which gives y = 3/7. Hence, the y-intercept is (0, 3/7).

2) To find the value of y when x = -3 in the equation 3x - 4y = 6, we substitute x = -3 and solve for y. Substituting -3 for x, we have 3(-3) - 4y = 6, which simplifies to -9 - 4y = 6. Solving for y, we move -9 to the right side by adding 9 to both sides, resulting in -4y = 15. Dividing both sides by -4, we find y = -3/2.

3) To complete the table of values for the equation 2x + 3y = 4, we substitute different x-values and solve for y. For x = -2, we have 2(-2) + 3y = 4, which simplifies to -4 + 3y = 4. Solving for y, we add 4 to both sides, giving 3y = 8. Dividing by 3, we find y = 8/3, so the point is (-2, 8/3). Similarly, for x = -1, we have 2(-1) + 3y = 4, which simplifies to -2 + 3y = 4. Solving for y, we add 2 to both sides, resulting in 3y = 6. Dividing by 3, we find y = 2, so the point is (-1, 2).

4) To determine the value of x when y = 5 in the equation 5x + 2y = 10, we substitute y = 5 into the equation. Substituting 5 for y, we have 5x + 2(5) = 10, which simplifies to 5x + 10 = 10. Solving for x, we move 10 to the right side by subtracting 10 from both sides, giving 5x = 0. Dividing both sides by 5, we find x = 0.

5) The equation 7x - 5y = 5 can be rearranged into slope-intercept form. By isolating y, we get -5y = -7x + 5, and dividing by -5 yields y = (7/5)x - 1. Comparing this form to y = mx + b, we can determine that the slope is 7/5 and the y-intercept is (0, -1).

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